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Finding the Fourth Proportional to 129,433.92, 194,239.40 and 45,194

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Solution

The fourth proportional to 129,433.92, 194,239.40 and 45,194 is: 67,821.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,433.92 : 194,239.40 = 45,194 : x
  2. Step 2: Convert to fraction form
    129,433.92/194,239.40 = 45,194/x
  3. Step 3: Cross multiply
    129,433.92x = 194,239.40 × 45,194
  4. Step 4: Simplify right side
    129,433.92x = 8,778,455,443.60
  5. Step 5: Solve for x
    x = 8,778,455,443.60/129,433.92
  6. Step 6: Final answer
    x = 67,821.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.